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Finding the Fourth Proportional to 2,943.02, 4,061.34 and 1,616.64

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Solution

The fourth proportional to 2,943.02, 4,061.34 and 1,616.64 is: 2,230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.02 : 4,061.34 = 1,616.64 : x
  2. Step 2: Convert to fraction form
    2,943.02/4,061.34 = 1,616.64/x
  3. Step 3: Cross multiply
    2,943.02x = 4,061.34 × 1,616.64
  4. Step 4: Simplify right side
    2,943.02x = 6,565,724.70
  5. Step 5: Solve for x
    x = 6,565,724.70/2,943.02
  6. Step 6: Final answer
    x = 2,230.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.